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Bunuel
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Bunuel
An apartment dweller pays $125 per quarter for theft insurance. The policy will cover the loss of cash and valuables during the course of a year in excess of $350 by reimbursing 75% of the value of the loss above $350. During the course of a certain year, the apartment dweller suffers the theft of $1250 in cash — but no other losses — by theft. What is the difference between the combined amount paid in theft insurance and unreimbursed losses for that year, and the amount that would have been lost if the apartment dweller had not had any insurance?

(A) $125

(B) $175

(C) $225

(D) $350

(E) $675

The total amount the apartment dweller pays for theft insurance is \(4*$125 = $500\)

The policy covers loss of cash in excess of $350 during the course of the year by
reimbursing 75% of the value of the loss. Since, the dweller looses $1250 cash by
theft, the amount that would be reimbursed is \(\frac{3}{4}*900 (1250-350) = $675\)

The un-reimbursed loss is 1250-675 = 575, which when added to the theft insurance of $500 is $1075.

If the apartment dweller doesn't have any insurance he would have lost $1250

Therefore, the difference would be $175(Option B)
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